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HELP ASAP !! 60 points In the following diagram, A||B

.




Use complete sentences to explain how the special angles created by the intersection of A and B by D can be used to solve for x.

Solve for x, showing all of your work.

Find the measure of <6

HELP ASAP !! 60 points In the following diagram, A||B . Use complete sentences to-example-1
User MelnikovI
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1 Answer

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Answer:The complete sentences are:

Angles 7 and 8 are vertical opposite angles.

The special angles created are vertically opposite angles and adjacent angles.

The value of y is 24, and the measure of angles 7 and 8 is 89 degrees

Relationship between <7 and <8

From the attached figure, we can see that:

The point of intersection of lines C and D created 4 angles.

A pair of angles are either vertically opposite angles or adjacent angles.

Using the second highlight above, we have:

The above means that:

Angles 7 and 8 are congruent

The congruence relationship between both angles is vertically opposite angles.

Special angles created by lines C and D

Using the second highlight above, we have:

This means that, the special angles created are:

Vertically opposite angles

Adjacent angles

Value of y, and the measures of <7 and <8

We have:

--- vertically opposite angles

Collect like terms!

Divide both sides by 2

To calculate <7, we have:

---- adjacent angles

Substitute 24 for y

Subtract 91 from both sides

Hence, the measure of angles 7 and 8 is 89 degrees

Explanation:

User MattSidor
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